The Laplace-Beltrami Operator on the Surface of the Ellipsoid
The Laplace-Beltrami Operator on the Surface of the Ellipsoid
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English
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The Laplace-Beltrami operator on (the surface of) a triaxial ellipsoid admits a sequence of real eigenvalues diverging to plus infinity. By introducing ellipsoidal coordinates, this eigenvalue problem for a partial differential operator is reduced to a two-parameter regular Sturm-Liouville problem involving ordinary differential operators. This two...
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The Laplace-Beltrami Operator on the Surface of the Ellipsoid
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TN_cdi_crossref_primary_10_3842_SIGMA_2024_067
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_crossref_primary_10_3842_SIGMA_2024_067
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ISSN
1815-0659
E-ISSN
1815-0659
DOI
10.3842/SIGMA.2024.067